BETA.INV function

Returns the inverse of the beta cumulative probability density function (BETA.DIST).

If probability = BETA.DIST(x,...TRUE), then BETA.INV(probability,...) = x. The beta distribution can be used in project planning to model probable completion times given an expected completion time and variability.



The BETA.INV function syntax has the following arguments:

  • Probability     Required. A probability associated with the beta distribution.

  • Alpha     Required. A parameter of the distribution.

  • Beta     Required. A parameter the distribution.

  • A     Optional. A lower bound to the interval of x.

  • B     Optional. An upper bound to the interval of x.


  • If any argument is nonnumeric, BETA.INV returns the #VALUE! error value.

  • If alpha ≤ 0 or beta ≤ 0, BETA.INV returns the #NUM! error value.

  • If probability ≤ 0 or probability > 1, BETA.INV returns the #NUM! error value.

  • If you omit values for A and B, BETA.INV uses the standard cumulative beta distribution, so that A = 0 and B = 1.

Given a value for probability, BETA.INV seeks that value x such that BETA.DIST(x, alpha, beta, TRUE, A, B) = probability. Thus, precision of BETA.INV depends on precision of BETA.DIST.


Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.




Probability associated with the beta distribution


Parameter of the distribution


Parameter of the distribution


Lower bound


Upper bound





Inverse of the cumulative beta probability density function for the parameters above.


Applies To: Excel 2016 for Mac, Excel 2016, Excel Starter, Excel 2010, Excel Online, Excel 2013, Excel for Mac 2011

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